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Question

A conducting bar of length L is free to slide on two parallel conducting rails as shown in figure.


Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field →B pointing into the page. An external agent pulls the bar to the left at a constant speed v. The correct statement about the directions of induced currents I1 and I2 flowing through R1 and R2 respectively is:

A
I1 is in clockwise direction and I2 is in anticlockwise direction
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B
Both I1 and I2 are in clockwise direction
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C
I1 is in anticlockwise direction and I2 is in clockwise direction
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D
Both I1 and I2 are in anticlockwise directon
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Solution

The correct option is A I1 is in clockwise direction and I2 is in anticlockwise direction

When the bar slides, area of loop 1 decreases and that of loop 2 increases. Magnetic flux decreases in 1 and increases in 2. Therefore, according to Lenz's law, induced emf and current resist this change. As a result, magnetic flux through 1 should increase and through 2 should decrease. So, I1 would be clockwise and I2 anticlockwise.
Hence option (a) is correct.

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